Volume function and Mahler measure of exact polynomials

DOI10.1112/S0010437X21007016zbMath1469.11046arXiv1804.01395OpenAlexW3154543618MaRDI QIDQ3389461

Antonin Guilloux, Julien Marché

Publication date: 10 May 2021

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.01395

zbMATH Keywords

Mahler measureK-theoryhyperbolic geometryamoeba\(A\)-polynomial

Mathematics Subject Classification ID

Polynomials in number theory (11C08)

Related Items (2)

Mahler measure of \(P_d\) polynomials ⋮ A survey on computational aspects of polynomial amoebas

Uses Software

• PHCpack
• SageMath
• SnapPy

Cites Work

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• Plane curves associated to character varieties of 3-manifolds
• Some examples of Mahler measures as multiple polylogarithms
• Real algebraic curves, the moment map and amoebas
• Mahler’s Measure and the Dilogarithm (I)
• On Measures of Polynomials in Several Variables: Corrigendum
• Deligne periods of mixed motives, $K$-theory and the entropy of certain $\mathbb {Z}^n$-actions
• Géométrie d'Arakelov des variétés toriques et fibrés en droites intégrables
• Algorithm 795
• Volume rigidity ad ideal points of the character variety of hyperbolic 3-manifolds
• Mahler measures of elliptic modular surfaces

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